Vanishing of the anomaly in lattice chiral gauge theory

Math Physics Seminar
Thursday, April 6, 2023 - 12:00pm for 1 hour (actually 50 minutes)
Skiles Room 005 and Zoom Meeting ID: 989 6686 9205
Vieri Mastropietro – University of Milan (Italy) –
Michael Loss

The anomaly cancellation is a basic property of the Standard Model, crucial for its consistence. We consider a lattice chiral gauge theory of massless Wilson fermions interacting with a non-compact massiveU(1) field coupled with left- and right-handed fermions in four dimensions. We prove in the infinite volume limit, for weak coupling and inverse lattice step of the order of boson mass, that the anomaly vanishes up to subleading corrections and under the same condition as in the continuum. The proof is based on a combination of exact Renormalization Group, non-perturbative decay bounds of correlations and lattice symmetries.

The talk can be accessed via zoom: Meeting ID: 989 6686 9205